Success TutoringWorksheets

9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade quadratics worksheet.

Success TutoringWorksheetsAnswer sheet9th Grade · Mathematics · Quadratics

9th Grade Factoring and Solving Quadratics Worksheet — Level 3 — Practice Set 3 — Answers

Factor, then use the zero product property.

1.Solve: 2x2 + 3x + 1 = 0

Answer: x = − or x = −1

  1. Factor: (2x + 1)(x + 1) = 0
  2. 2x + 1 = 0 gives x = −
  3. x + 1 = 0 gives x = −1
2.Solve: 2x2 − 12x + 16 = 0

Answer: x = 2 or x = 4

  1. Factor: (2x − 4)(x − 4) = 0
  2. 2x − 4 = 0 gives x = 2
  3. x − 4 = 0 gives x = 4
3.Solve: 3x2 − 11x − 4 = 0

Answer: x = − or x = 4

  1. Factor: (3x + 1)(x − 4) = 0
  2. 3x + 1 = 0 gives x = −
  3. x − 4 = 0 gives x = 4
4.Solve: 2x2 + x − 1 = 0

Answer: x = or x = −1

  1. Factor: (2x − 1)(x + 1) = 0
  2. 2x − 1 = 0 gives x =
  3. x + 1 = 0 gives x = −1
5.Solve: 2x2 + 9x + 4 = 0

Answer: x = − or x = −4

  1. Factor: (2x + 1)(x + 4) = 0
  2. 2x + 1 = 0 gives x = −
  3. x + 4 = 0 gives x = −4
6.Solve: 2x2 − 14x + 24 = 0

Answer: x = 4 or x = 3

  1. Factor: (2x − 8)(x − 3) = 0
  2. 2x − 8 = 0 gives x = 4
  3. x − 3 = 0 gives x = 3
7.Solve: 2x2 + 15x + 28 = 0

Answer: x = − or x = −4

  1. Factor: (2x + 7)(x + 4) = 0
  2. 2x + 7 = 0 gives x = −
  3. x + 4 = 0 gives x = −4
8.Solve: 3x2 − 17x + 20 = 0

Answer: x = or x = 4

  1. Factor: (3x − 5)(x − 4) = 0
  2. 3x − 5 = 0 gives x =
  3. x − 4 = 0 gives x = 4
9.Solve: 2x2 − 4x − 16 = 0

Answer: x = -2 or x = 4

  1. Factor: (2x + 4)(x − 4) = 0
  2. 2x + 4 = 0 gives x = -2
  3. x − 4 = 0 gives x = 4
10.Solve: 2x2 − 21x + 40 = 0

Answer: x = or x = 8

  1. Factor: (2x − 5)(x − 8) = 0
  2. 2x − 5 = 0 gives x =
  3. x − 8 = 0 gives x = 8
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.